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the height of a solid cone is 12cm and the radius of circular base is 32cm.a plane parralel to base of the cone cuts through the cone 9cm above the vertex of cone .find the area of the base of new cone so formed?
 

Asked by Hrithik 7th January 2017, 10:55 AM
Answered by Expert
Answer:
begin mathsize 16px style G i v e n space colon space A space s o l i d space c o n e space w i t h space H equals 12 space c m comma space R equals 32 comma space c u t space b y space a space p l a n e space vertical line vertical line space t o space i t s space b a s e space 9 space c m space
space space space space space space space space space space space space space space space space b e l o w space i t s space v e r t e x space
T o space f i n d space colon space T h e space b a s e space a r e a space o f space t h e space c o n e space t h u s space f o r m e d.
S o l u t i o n space colon space
I n space increment A O F comma
O F space equals space 12 space c m
F A space equals 32 space c m
A n d space i n space increment C O E comma
O E space equals 9 space c m
w e space s e e space t h a t space increment C O E space tilde increment A O F space a s space i t space h a s space b e e n space f o r m e d space o u t space o f space increment A O B space o n l y comma space s o comma
space space space fraction numerator A F over denominator C E end fraction equals fraction numerator O F over denominator O E end fraction rightwards double arrow fraction numerator 32 over denominator C E end fraction equals 12 over 9
rightwards double arrow C E space equals fraction numerator 32 space cross times 9 over denominator 12 end fraction
C E space equals space 24 space c m space
S o comma space t h e space b a s e space a r e a space o f space c i r c l e space h a v i n g space i t s space
r a d i u s space a s space 24 space c m space equals space straight pi left parenthesis 24 right parenthesis squared
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 22 over 7 cross times 576
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 905.14 space cross times 2
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1810.28 space cm squared space space space space space space space space space space space space space space space space space space space space end style
Answered by Expert 9th January 2017, 1:02 PM
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